Question bank

Chapter-1   Place Value
Q-1 Fill in the Blanks

1. When is rounded to nearest 10, we get _____.

2. When 8857 is rounded to nearest 100, we get _____

3. Rounding off 43.75 to the nearest tenth place is ______ .

4. When 479 is rounded to nearest 100, we get _____

Q-2 True Or False

1. Rounding off 269.98 to the nearest tenth is 270.

2. Place value of a digit in a number is the sum of its face value and the value of the place it occupies.

3. Twenty Nine Thousands Eighty Six = 89,086

4. When 8844 is rounded to nearest 100, we get 8700.

Q-3 one word answer

1. The number just comes before a number is called

2. The number just comes after a number is called

3. Arrangement of numbers from smaller to greater is known as

4. Arrangement of numbers from greater to smaller is known as

Q-4

Write the word form of the numbers given below :

(a) 69,23,514

(b) 4,33,901

Q-5

Write the expanded form of the numbers given below :

(a) 4,23,50,009

(b) 66,27,319

(c) 4,25,255

(d) 6,929

Q-6

Write the numbers given below in figures :

(a) Four crore fifty lakh seven.

(b) Seven lakh fifteen thousand seventy-seven.

(c) Twenty-five lakh twenty-five thousand twenty-five.

(d) Sixty thousand six hundred seven.

(e) Nine crore twenty-four lakh fifty-two thousand four hundred sixty-nine.

Q-7

Write the place value of underlined digit in the followings :

(a) 7,2,33,455

(b) 1,43,56,792

(c) 5,07,34,233

(d) 6,71,0399

Q-8

Compare, using’<’,’>’,’=’, the following:

(a) 3,27,999 ____ 4,33,999

(b) 66,666 ____ 55,666

(c) 1,24,24,435 _____ 4,33,999

(d) 57,923 _____ 57,723

Q-9

Write greatest possible number of 7-digit by repeating the digits (if required)given below:

(a) 7, 3, 5, 9,

(b) 0, 6, 5, 7, 9

(c) 1, 9, 6, 3, 4, 8, 7

(d) 1, 3, 7, 2

Q-10

Write smallest possible number of 8-digit by repeating the digits (if required)given below:

(a) 2, 5, 4, 3, 

(b) 8, 7, 9, 6, 5, 4

(c) 7, 4, 5, 6, 0, 1, 2, 3

(d) 9, 4, 7, 2

Q-11

Write successors of the numbers given below :

(a) 47,999

(b) 46,099

(c) 45,009

(d) 47,099

Q-12

Write predecessors of the numbers given below :

(a) 20,000

(b) 1,20,201

(c) 2,20,22,229

(d) 78,99,900

Q-13

Insert the commas using the International System and also write in word form :

(a) 3973467 

(b) 299990

(c) 4000090

(d) 200002

Q-14

Round the numbers given below at 10’s place :

(a) 1,299

(b) 79

(c) 126

(d) 13,212

Q-15

Round the numbers given below at 100’s place :

(a) 299

11,099

(c) 12,527

(d) 2,98,890

Q-16

Round the numbers given below at 1000’s place :

(a) 2,67,000

(b) 3,999

(c) 20,690

(d) 2,010

Q-17

Write the numbers in Roman numerals :

(a) 505 =

(b) 307 =

(c) 55 =

(d) 99 =

(e) 73 =

(f) 400 =

Multiple Choice Questions
Q-1 Write the numbers of Twenty - nine thousand eighty - six.

(i)

29086

(ii)

29000

(iii)

29088
Q-2 Write the numbers name of 46775

(i)

fourty-six thousand hundred seventy five

(ii)

fourty-six thousand seven hundred seventy five

(iii)

fourty-six thousand seven hundred
Q-3 1,00,000 (one lakh) is the ______________ 6-digit number.

(i)

smallest

(ii)

greatest

(iii)

none of these
Q-4 The number 29,01,310 has :

(i)

Twenty nine lakh one thousand hundred ten

(ii)

Twenty nine lakh one thousand three thousand

(iii)

Twenty nine lakh one thousand three hundred ten
Chapter-2   Fundamental Operations
Q-1 Fill in the Blanks
(a) C.P. = ` 490; Profit= ` 40 : S.P. = ___________________
(b) Loss = ` 40; S.P. = ` 340; C.P. = ___________________
(c) C.P. = ` 13,850; Loss = ` 850; S.P. = ___________________
(d) Profit = ` 50; S.P. = ` 340; C.P. = ___________________
Q-2 True Or False
(a) Cost of 10 apples is ` 20. Each apple is sold at ` 1.50. Shopkeeper get a profit, not a loss.
(b) Cost of 15 book is ` 450. Each book is sold at ` 45. Profit of Shopkeeper is ₹ 225.
Q-3

Add the following :
Q-4

Subtract the following and check :
Q-5

Fill in the blanks
Q-6

Calculate profit or loss in the following cases :

(a) C.P. = ` 340 ; S.P. = ` 400

(b) C.P. = ` 2010 ; S.P. = ` 1990

(c) C.P. = ` 315; S.P. = ` 285

(d) C.P. = ` 3500; S.P. = ` 6000

Q-7

Fill in the missing entry :

(a) C.P. = ` 390; Profit= ` 40 : S.P.

(b) S.P. = ` 410; Loss = ` 20: C.P.

(c) Profit = ` 40; S.P. = ` 340; C.P.

(d) C.P. = ` 13,850; Loss = ` 3150; S.P.

Q-8

Solve - 

1. Sohan purchased an almirah for ` 6,500 and sold it to Mohan for ` 8,200. Calculate his profit or loss.

2. A shopkeeper sold one dozen note books for ` 725 and has lost ` 75. At what price did he purchase the note books?

3. Sita purchased a cycle for ` 2100, she spent ` 185 for sitting carrier, bell, etc. in it and sold it for ` 2500. Find her profit or loss.

4. A grocer purchased goods from the market at ` 1,26,350 and spent ` 2,370 in transportation and packaging. He sold all the goods at ` 1,85,700. What is the profit or loss earned by the grocer in selling goods ?

Q-9

A businessman wants to keep an eye on the goods available with him and sold every day. While keeping track of maintaining records, he forgets a few entries. Fill in the missing entries and complete the record.
Q-10

Fill in the blanks :

(a) Cost of 10 oranges is ` 20. If each orange is sold at ` 1.50, is it profit/loss? ______________.

(b) There is a loss if ______________.

(c) There is a profit if ______________.

(d) S.P. = ______________ + C.P.

(e) C.P. = Loss +_____________.

(f) Loss = _________–_________.

(g) Profit = _________–_________

Q-11

Solve:

(a) 8,641 × 38

(b) 7,942 × 308

(c) 6,549 × 231

(d) 3,027 × 191

(e) 68,417 × 317

(f) 37,479 × 38

(g) 30,004 × 101

(h) 4,237 × 200

(i) 397 × 300

Q-12

Divide and verify the result :

(a) 3780 ÷ 92

(b) 4220 ÷ 25

(c) 87631 ÷ 371

(d) 4036792 ÷ 258

(e) 262907 ÷ 403

(f) 47348 ÷ 36

Q-13

Fill up the blanks :

(a) Dividend= ___ , Quotient= 915, Divisor= 62, Remainder = 53

(b) Dividend = 66728 Quotient = ___ , Divisor = 17, Remainder= ___

(c) Dividend= 7456788 Quotient= , Divisor= 32, Remainder = 20

(d) Dividend= ___ , Quotient= 84305, Divisor= 35, Remainder = 2

(e) Dividend= 995906 Quotient= ___ , Divisor= 1456, Remainder= ___

Q-14

Numericals - 

1. What is to be added in the sum of 12,66,325 and 32,585 to get 15,00,023?

2. There is a need of 31,250 pens in a year. How many boxes of 50 each are required to be purchased ?

3. Suresh travelled 5,185 km. When he started journey, his meter was at 24,815. What is present meter reading of his vehicle ?

4. How many 10-thousands are there in 10 Lakhs ?

5. What will be the cost of each vehicle, if 125 vehicles cost ` 2236875.

6. If one bus can carry 42 passengers at a time, how many passengers can be accommodated in 310 buses?

7. An oil tanker is full of 500 l of oil. How much oil will be filled in 25 such tankers? If 20 buckets can be filled with one tank of oil, how many buckets in all can be filled with the oil in 25 tanks ?

8. If 676 note-books are to be packed in 26 boxes, how many note-books will be packed in each box ?

9. A company collected ` 6622875 from its employees for the Kargil Relief Fund. If each employee donated ` 435, find the number of employees.

10. There are 20 students in one class. Each class has 4 sections and 26 classes are there in a school. How many students are there in a school ?

11. The cost of one book is ` 68. Sita buys 21 books. 

(a) How much she has to pay? 

(b) What will be cost of 45 such books ?

Chapter-3   Factors and Multiples
Q-1 Fill in the blanks:
(a) A number can have __________ multiples.
(b) A number which has 2 as one of its factor is called an _______ number.
(c) A number which does not have 2 as one of the factors is an ________ number.
(c) A prime number has only _________ factors.
Q-2 True or False:
(a) 1 is a factor of every number and every number is a factor of itself.
(b) The numbers having 0, 2, 4, 6 or 8 in the ones place are always divisible by 2.
(c) A number is divisible by 3 if sum of its digits is divisible by 3.
(d) The process of finding all the prime factors of a number Is called prime factorization.
Q-3 One word answer:
(a) What are the prime factors of 812.
(b) What are the prime factors of 3240.
(c) What are the prime factors of 1725.
(d) What are the prime factors of 54.
Q-4

Separate the prime numbers and composite numbers from the numbers given below:

6, 28, 39, 13, 63 and 47.

Q-5

Fill in the blanks so that the numbers are divisible by ‘11’:

(a) 4_6_1

(b) _8_3

(c) 1_4_5

(d) 1_0_1

Q-6

Say ‘true’ or ‘false’ :

(a) Prime number can have either 1 or 2 factor.

(b) 2 and 3 is the only pair of successive prime number between 1 and 100.

(c) There are 26 prime numbers between 1 and 100.

(d) There are 74 composite numbers between 1 and 100.

(e) All composite numbers are divisible by 2.

Q-7

Which of the following numbers are divisible by 2 ?

(a) 3890 (b) 9786 (c) 278 

(d) 7376 (e) 1208 (f) 4856257

Q-8

Which of the following numbers are divisible by 3 ?

(a) 771 (b) 179 (c) 835 

(d) 99999 (e) 66186627 (f) 45376

Q-9

Test the divisibility of following numbers by 4 ?

(a) 1132 (b) 7718 (c) 8816 

(d) 1260 (e) 4408806 (f) 7520936

Q-10

Which of the following numbers are divisible by 5 ?

(a) 18540 (b) 356795 (c) 6165530 

(d) 22400724 (e) 2618850 (f) 21743962

Q-11

Test whether the following numbers are divisible by any one or two or all of 7, 8, and 9.

(a) 854 (b) 5679 (c) 14456 

(d) 64340 (e) 159786 (f) 26165530

Q-12

Find all the prime factors for the following numbers :

(a) 64

(b) 100

(c) 1000

(d) 2000

(e) 1600

(f) 2500

(g) 1500

(h) 30,000

(i) 256

(j) 398

Q-13

Questions -

1. Find the prime factors of 12 and 16 and write the prime factors which are common to both.

2. Find the prime factors of 100, 250 and 1600 and write the prime factors which are common.

Q-14

Find the HCF by horizontal method :

(a) 92,138

(b) 320,440

(c)440,385

(d) 36,45

Q-15

Find HCF by vertical method :

(a) 28,36

(b) 230,322

(c) 504,672

(d) 693,2079

Q-16

Find HCF by long division method :

(a) 385,440,495

(b) 216,468, 828

(c) 15,36,40

(d) 16, 18,20

Q-17

Find LCM by prime factorization method :

(a) 180,200, 240

(b) 15, 20, 25, 30

(c) 18, 24, 72

(d) 15,20,35

Q-18

Find LCM by using division method :

(a) 96,256, 288

(b) 40,480,560

(c) 140, 210,350

(d) 18, 24,32

Q-19

Solve - 

1. Find the greatest number which divides 105 and 180 without leaving any remainder.

2. Find the greatest number which divides 157, 178 and 218 leaving remainder 5, 7 and 9 respectively.

3. Find the least number which divides 20,25 and 50 leaving a remainder of 9.

4. The product of two numbers is 288 and their HCF is 4. Find LCM.

Multiple Choice Questions
Q-1 A number can have ____________ multiples.

(i)

two

(ii)

three

(iii)

infinite
Q-2 A prime number has only _______ factors.

(i)

two

(ii)

three

(iii)

none of these
Q-3 13 is a ______ number.

(i)

even

(ii)

prime

(iii)

none of these
Q-4 A composite number has __________ factors.

(i)

two

(ii)

more than two

(iii)

none of these
Chapter-4   Fractions
Q-1 Fill in the blanks:
(a) ____________ are also known as fractional numbers.
(b) Fractions with greater numerators than the denominators are called ______________.
(c) Mixed fractions can be converted into _____________.
(d) Multiplicative inverse is also known as _____________.
Q-2 True or False:
(a) Order of numbers or fractions will be taken as it is for divisor.
(b) A fraction is said to be in its lowest or standard form if numerator and denominator has no common factor except ‘1 ‘.
(c) To multiply mixed fraction by a whole number, first convert mixed fraction as improper fraction and proceed.
(d) Multiplication of fraction by fraction can be extended to any number of fraction.
Q-3 One word answer:
(a) Divide 7/36 by 5/12.
(b) Multiply 9/15 by 0.
(c) Multiply 4/5 and 5/4.
(d) Multiply 6/25 and 5/7.
Q-4

Find 1/ 4 of a collection of:

(a) 24 oranges

(b) 32 note books

(c) 36 pencils

Q-5

Find 3 /5 of a collection of:

(a) 20 books

(b) 25 pens

(c) 40 laddoos

Q-6

Express each into an improper fractions :

(a) 3 *3/ 5

(b) 6* 2/ 3

(c) 9* 2/ 3

(d) 7 *3/ 4

Q-7

Express each into a mixed fractions :

(a) 100/ 3

(b) 250 /9

(c) 300 /29

(d) 200 /7

Q-8

Find equivalent fraction of 24 /60 having :

(a) numerator 20

(b) denominator 90

(c) denominator 30

(d) numerator 36

Q-9

Verify whether given fractions are equivalent or not :

(a) 3 /7 = 45 /105

(b) 4/ 9 = 60 /144

(c) 5 /14 = 70 /196

(d) 9 /10 = 72 /88

(e) 7 /25 = 28 /100

(f) 3/ 16 = 45 /80

Q-10

Reduce the following in the lowest form :

(a) 66/ 132

(b) 44/ 122

(c) 28 /20

(d) 16 /18

Q-11

Compare the following by using the symbols ‘<’ or ‘>’ or ‘=’ :

(a) 3/ 5 and 5/ 7

(b) 4 /9 and 16/ 11

(c) 3 *1/ 4 and 2* 1/ 2

(d) 14/ 5 and 11/ 3

Q-12

Arrange the following in ascending order :

(a) 4 /7 , 4/ 11 , 4/ 5 , 4/ 3

(b) 3/ 7 , 9/ 7 , 11 /7 , 2/ 7

(c) 1 /15 , 3 /5 , 4/ 10 , 5/ 15 and 11 /30  

Q-13

Arrange the following in descending order :

(a) 1/ 9 , 7/ 9 , 11/ 9 , 5/ 9

(b) 5 /11 , 3/ 11 , 9/ 11 , 13/ 11

(c) 3/ 2 , 2/ 5 , 7/ 15 , 9 /5 and 16/ 30

Q-14

Add the following :

(a) 3 /4 + 7 /9 , 15/ 16

(b) 13 /15 + 7/ 20 + 9 /25

(c) 3 *3/ 4 + 5* 1/ 6 + 4 *1/ 3

Q-15

Subtract the following :

(a) 7* 1/ 6 – 4 *1/ 12

(b) 3* 3/ 8 – 2* 5/ 12

(c) 9 /16 – 1/ 2

Q-16

Fill in the blanks :

(a) 2 *4/ 9 + 3 *1 /6 = __________

(b) 3 *2/ 7 + __________ = 5 *5/ 7

(c) 7 /8 – __________ = 3/ 8

(d) 2 – __________ = 1 *4/ 9

(e) 15 /35 = 27 –

(f) 16 – = 32/ 64

(g) __________ – 7 /10 = 5/ 2

(h) 5 *1/ 6 + __________ = 15* 5/ 6

Q-17

Multiply:

(a) 9/ 15 × 0

(b) 4/5 × 5/ 4

(c) 6/ 25 × 5 /7

(d) 17 *1/ 3 × 4 *1/ 5

(e) 2 *3/ 4 × 3* 1/ 5 × 2* 2 /3

(f) 3 /7 × 1* 1/ 9 × 2/ 3

(g) 2* 3/ 4 × 2/ 3

Q-18

Divide the following :

(a) 3 /7 ÷ 15

(b) 8 /13 ÷ 32

(c) 25 /21 ÷ 25/ 7

(d) 28 *5/ 4 ÷ 13/ 8

(e) 17* 3/ 8 ÷ 16 *3/ 7

(f) 18 *3 /4 ÷ 1* 7/ 8

(g) 6 /25 ÷ 9/ 10

Multiple Choice Questions
Q-1 Fraction is a part of _______.

(i)

two

(ii)

three

(iii)

whole
Q-2 __________ is upper part of fraction.

(i)

Numerator

(ii)

Denominator

(iii)

none of these
Q-3 _________ is lower part of fraction.

(i)

Numerator

(ii)

Denominator

(iii)

none of these
Q-4 The fraction 3/8 can also be written in words as _______.

(i)

three-fourths

(ii)

three-fifths

(iii)

three-eighths
Chapter-5   Decimals
Q-1 Fill in the blanks:
(a) A _______ is a way of representing special type of fractions.
(b) Fractions having denominators 10, 100, 1000, etc. are known as ________________.
(c) The ___________ of a digit becomes one hundredth when it moves from left to right by two places.
(d) Decimals having same number of decimal places or same number of digits after the decimal point are known as _____________.
Q-2 True or False:
(a) Decimal which are equal in value are called equivalent decimals.
(b) While comparing decimals through mathematical models, more coloured parts of the grid show greater decimal.
(c) Addition of decimals is done in the same way as we do the addition of whole numbers.
(d) Adding zeroes to the extreme right of the decimal number does not effect the value of original number.
Q-3 One word answer:
(a) Multiply 467 × 0.3.
(b) Multiply 467 × 0.03.
(c) Find the product of 6.582 × 16.
(d) Find the product of 3.709 × 1.42.
Q-4

Write in words:

(a) 357.9725 =

(b) 40.207 =

(c) 205.3009 =

(d) 119.279 =

(e) 215.215 = 

Q-5

Add:

(a) 23.110 and 9.7

(b) 14.705 and 19.23

(c) 9.729 and 9.123

(d) 0.11 and 11.072

(e) 2.32, 1.962, 11.2

(f) 19.02, 9.2 and 8.232

Q-6

Write in figures :

(a) Thirty point zero seven five

(b) Three hundred fifty-five point one two

(c) Sixty-seven point zero

(d) Two Thousand seven point five zero seven

(e) One point one

(f) Eight point two zero four

Q-7

Write the following decimals in expanded form :

(a) 19.35

(b) 19.265

(c) 213.3065

(d) 490.008

(e) 8.275

(f) 137.509

Q-8

Write the following in short form :

(a) 40 + 7 + 5 /100

(b) 100 + 30 + 1 /10 +5 /100

(c) 300 + 90 + 7 + 3/ 10 +9 /100

(d) 3000 + 200 + 10 + 1 /10 +3 /100+ 4 /1000

(e) 900 + 90 + 9 /10 +9 /100 +9 /1000

(f) 7000 + 7 + 7 /10 +7/ 100+ 7 /1000

Q-9

Express the following unlike decimals into like decimals :

(a) 7.15, 7.0209; 7.6

(b) 11.5, 1.2, 1.327

(c) 2.9, 1.76, 8.063

(d) 9.04, 9.040; 9.0400

(e) 8.4, 7.262; 0.02

(f) 24.85, 708.124

Q-10

Fill in the blanks with equivalent decimals :

(a) _______= 2.70 = 2.700

(b) 17.5 = _______= _______

(c) 0.8 = _______ = 0.800

(d) 2.4 _______= 2.400

(e) 407.5 = _______ = _______

(f) 9.8= _______ = _______

Q-11

Express as decimals :

(a) 45 /100000

(b) 11782/ 10000

(c) 112 *12/ 1000

(d) 8/ 100

(e) 367 /10

(f) 186 /100

Q-12

Express as fraction :

(a) 0.49

(b) 2.754

(c) 0.05

(d) 0.185

(e) 6.9782

(f) 12.024

Q-13

Write in ascending order:

(a) 9.06, 0.66, 1.1

(b) 6.65, 6.065, 60.65

(c) 305.8, 350.6, 315.7, 315.07

(d) 20, 18.89, 19.88, 19.9

(e) 2.32, 2.032, 3.202, 3.0202

(f) 7.75, 77.5, 70.5, 71.05

Q-14

Compare using’>’,’<’, or’=’:

(a) 33.56 + 2.39 _____ 30.9 + 4.262

(b) 14.292 + 10.672 ____ 23.672

(c) 3 + 0.52 + 11.32 ____ 5 + 4.36 + 2.390

(d) 11.397 + 4.02 ____ 15.692 + 0.07

Q-15

Colour the figures to show the sum in the following figure :
Q-16

Subtract :

(a) 9.785 from 11

(b) 2.63 from 7.347

(c) 2.037 from 5.809

(d) 17.92 from 21.07

(e) 31.427 from 50.239

(f) 53.9 from 60.039

Q-17

Compare using’>’,’<’ or’=’:

(a) 7.357-3.42 ___ 5.91

(b) 61.357- 54.92 _____ 90.082- 78.37

(c) 16.989 -14.07 ____ 14.07- 10.078

(d) 94.87- 68.92 ____100.03- 79.1

Q-18

Practical Applications

1. In a cycle race, person A took 4.67 seconds; person B took 5.75 seconds and person C took 4.97 seconds. Who has won the race and by how much difference with others?

2. In an examination, passing marks was 37. A boy failed by 16.4 marks. How many marks were secured by him?

3. flying disc ‘A’ is thicker by 4.08 cm from another flying disc ‘B’ which has a thickness of 9.37 cm. What is thickness of flying disc ‘A’?

4. In a class test, three students A, B and C secured 25.7; 25.9 and 24.8 marks respectively out of 50. Who secured the highest marks and which student secured lowest marks?

5. Anju’s father is 24.5 years older than Anju’s. What is the age of Anju, if her father’s age is 50.4 years?

6. Sita has to travel 50.7 km. She has covered a distance of 23.8 km; how much more distance should she have to cover to complete her journey?

Q-19

Place the decimal points in the following products :

(a) 4.04 × 5.7 = 23028

(b) 147.134 × 5.35 = 78716690

(c) 2.569 × 1.23 = 315987

(d) 3.521 × 0.4120 = 14506520

Q-20

Multiply the following :

(a) 467 × 0.3

(b) 467 × 0.03

(c) 46.7 × 0.03

(d) 4.67 × .003

Q-21

Divide the following and verify the answer :

(a) 11.375 by 2.5

(b) 24.66 by 12

(c) 1.0517 by 13

Q-22

Write quotient for the following :

(a) 3.604 ÷ 5.3

(b) 612.68 ÷ 90.1

(c) 999.9 ÷ 0.9

(d) 6.2 ÷ 248

(e) 15 ÷ 8

(f) 24 ÷ 25

Q-23

Match the following :
Q-24

A shopkeeper uses rate-list for various products sold by him which is as under :
Multiple Choice Questions
Q-1 A __________ is a way of representing special type of fractions.

(i)

decimal

(ii)

fraction

(iii)

none of these
Q-2 The decimal numbers have _______ parts.

(i)

two

(ii)

three

(iii)

four
Q-3 The whole number part always lies on the ________.

(i)

left

(ii)

right

(iii)

top
Q-4 ___________ part is on the right of decimal point.

(i)

Whole number

(ii)

Decimal

(iii)

none of these
Chapter-6   Basic Geometry
Q-1 Fill in the blanks:
(a) A _______ marked on a piece of paper with the help of the tip of a sharp pencil reproducts a point.
(b) A flat surface is called a ___________.
(c) A plane can never be drawn on _____________.
(d) A line has ______ end points.
Q-2 True or False:
(a) If a line segment is extended infinitely in one direction, it is called a ray.
(b) Two lines are said to be parallel to each other, if the distance between them is always same.
(c) If two lines meet each other in a plane, then they are called intersecting lines.
(d) When two rays pointing in different directions meet at a point then inclination of one ray to the other, is called an Angle.
Q-3 One word answer:
(a) It is an instrument, available in our geometry box, in ‘D’ shape.
(b) Which has a definite length while a ray or line has no definite length.
(c) Which extends endlessly towards both ends.
Q-4

Questions - 

1. What is a point ? Name the points shown below.

2. List any two difference between a line segment, line and a ray.

3. Identify vertical, oblique and horizontal lines in the following figures:

4. Differentiate between parallel and intersecting lines.

5. Which of these line segments are parallel and which are intersecting:

6. Name the line segments, ray and line shown below :

Q-5

Look into the figure :

Copy the figure in your note-book and measure the angles marked.

Q-6

Look into the following figure :

Copy the figure in your note-book and measure the each angle. While copying, take AB, BC, CD, DE and EA equal and two angles equal to 90°.

Q-7

Name the angles formed in each of the figures given along with their numbers:
Q-8

Fill in the blanks with reference to the figures given below :

(a) ∠AOB measures ________________ degrees.

(b) ∠XOY measures ________________ degrees.

(c) ∠AOC measures ________________ degrees.

(d) Is ∠BOC ________________ = ∠COB? Give reason.

(e) ∠YOZ is ________________ because it measures in ________________.

Q-9

Classify the angles as acute, obtuse angles in the figure given below :
Multiple Choice Questions
Q-1 Geo means _______.

(i)

earth

(ii)

sky

(iii)

none of these
Q-2 Metry means _________.

(i)

metre

(ii)

measurement

(iii)

none of these
Q-3 To draw any shape or figure, we start with a ______.

(i)

point

(ii)

line

(iii)

none of these
Q-4 A point has _________ length, breadth or height.

(i)

one

(ii)

no

(iii)

none of these
Chapter-7   Shapes, Patterns And Symmetry
Q-1 Fill in the blanks:
(a) The line which divides a symmetrical figure into two equal parts is called the _________________.
(b) ____________ formed by two equal and one unequal line segments have only one line of symmetry.
(c) Turning of a shape or figure about a central point is called _____________.
(d) One circle has ___________ quarters.
Q-2 True or False:
(a) Quarter turn or ¼ turn makes an angle of 90° between two axes.
(b) A figure which looks the same after a half turn has a rotational symmetry or the order 2.
(c) One-sixth turn makes an angle of 90°.
(d) ‘Pattern’ means repetition of something over and over again in a logical sequence, so that symmetry in whole design can be observed.
Q-3 One word answer:
(a) Write the product of 35 x 35.
(b) Write the product of 225 x 225.
Q-4

Look at these flags and write how many lines of symmetry do they have. Draw lines of symmetry.
Q-5

Look at the following national emblems and draw lines of symmetry through them, if any.
Q-6

Draw the lines of symmetry for the following patterns and complete the table given below :
Q-7

Figure out the reflection, using mirror, in the following figures :
Q-8

Which of the following will look the same after quarter turn ? Circle it.
Q-9

Which of the following will look the same after half turn ? Circle it
Q-10

Draw any six shapes of your choice and complete the table given below :
Q-11

Which of the following shapes will look the same after quarter 1/ 3 and 1 /6 turn ? Circle it.
Q-12

Draw the 1/ 3 and 1 /6 turn of the following shapes/figures and mark (✓) for the figures, which return back to their original shapes/figures after 1 /3 and 1/ 6 turns.
Q-13

Use the designs given below and form three patterns for each by tracing the same in your note-book and by rotating through 1/ 2 turn, 1/ 4 turn and 1/ 6 turn.
Q-14

Identify the pattern and complete the following sequences :
Q-15

What will be next in the series ?
Q-16

Study the following patterns :

What do you find in each of the above pattern?

(a) 1, 8, 27, .............................

(b) 11211, 1112111, 111121111, .............................

Q-17

Write the product without actually multiplying.

(a) 35 × 35 = .........................

(b) 225 × 225 = .........................

Q-18

Observe the pattern and fill in the missing terms
Q-19

Observe the pattern and complete the series

(a) 2, 12, 22, 32, .............. , .............. , .............. , ..............

(b) 1, 3, 5, 7, .............. , .............. , .............. , ..............

(c) 4, 9, 16, 25, .............. , .............. , .............. , ..............

(d) 4, 16, 64, 256 .............. , .............. , .............. , ..............

(e) 34, 32, 30, 28 .............. , .............. , .............. , ..............

Multiple Choice Questions
Q-1 A shape or figure which can be divided or folded into identical halves is called a _______ shape.

(i)

identical

(ii)

symmetrical

(iii)

none of these
Q-2 The line along which the shape is divided into identical halves is called the line of ________.

(i)

symmetry

(ii)

identity

(iii)

none of these
Q-3 Line of symmetry is the line from where ______ is reflecting.

(i)

line

(ii)

shape

(iii)

none of these
Chapter-8   Measurements
Q-1 Fill in the blanks:
(a) Thickness of writing pencil = 9 mm = _____________ cm.
(b) Distance of window from floor = 32 cm = _____________ m.
(c) Height of room = 0.32 m = _____________ cm.
(d) Height of roof from ground = 0.15 km = _____________ m.
Q-2 True or False:
(a) The standard unit of measurement of mass (weight) is kilogram.
(b) To convert litres to millilitres, put 3 zeroes to the right of the numbers of litres.
(c) SBD stands for smaller to bigger and divide.
(d) BSM stands for bigger to smaller and multiply.
Q-3

Fill in the banks:

(a) 1 hm = ______ m (b) 1 dap = ______1 (c) 5000 mm = ______ m 

(d) 2 kg = ______ g (e) 1 c1 = ______1 (f) 1 m1 = ______ 1 

(g) 1 l = ______ ml (h) 1 hg = ______kg (i) 1 g = ______ mg 

(j) 3 kl = ______1

Q-4

Convert the following:

(a) 250 cm = ______ m (b) 3 m = ______cm (c) 5000 g = ______ kg 

(d) 2 kg = ______ g (e) 5000 ml = ______1 (f) 4l = ______ ml 

(g) 6200 g = ______ kg (h) 4 1 2 g = ______mg

Q-5

Match the following:
Q-6

Fill in the banks:

(a) Thickness of writing pencil = 9 mm = _____________ cm

(b) Distance of window from floor = 32 cm = _____________ m.

(c) Height of room = 0.32 m = _____________ cm.

(d) Height of roof from ground = 0.15 km = _____________ m.

(e) Length of cricket bat = 42 cm = _____________ dm.

(f) Width of cricket bat = 32 cm = _____________ mm.

(g) Diameter of plate = 35 cm = _____________ m.

(h) Length of mobile phone = 10.3 cm _____________ mm.

(i) Height of plant = 180 cm _____________ m

(j) Circumference of glass = 18 mm _____________ cm.

Q-7

Complete the sentences given below:

(a) A distance of 4.7 km is equal to _____________ m.

(b) Length of road of 0.31 km equals to _____________ m.

(c) Temple and garden is at a distance 2.3 dm equals to _____________ mm.

(d) 2725 m long football field equal to _____________ km.

(e) 1100 m field equals _____________ km.

Q-8

Fill in the banks:

(a) 5 dam = ______ km

(b) 2 hm = ______ m

(c) 1 dm = ______ mm

(d) 1 dam = ______ dm

(e) 5 km = ______ dam

(f) 1 cm = ______ dm

(g) 7 cm = ______ dm

(h) 3 dam = ______ dm

(i) 5 dm = ______ mm

Q-9

Match the following:
Q-10

Find weight in gram:
Q-11

Find weight in kg:
Q-12

Convert as asked in the question :

(a) 453.0037 kg = __________ g.

(b) 352,000,000 mg = __________ kg

(c) 0.00004275 hg = __________ cg

(d) 0.006 g = __________ mg

(e) 75,300,000 mg = __________ g

(f) 540 mg = __________ kg

(g) 3,592 mg = __________ cg

(h) 533,000 g = __________ kg

Q-13

Write conversion from :

(a) 3 g into kg

(b) 5003 g into kg

(c) 75 kg into g

(d) 50 kg 80 g into kg

(e) 32 dg 40 mg into g

(f) 19 kg 500 g 75 mg into g

(g) 38.75 dag into cg

(h) 999 mg into hg

(i) 3.725 g into mg

Q-14

Fill in the blanks :

(a) 33.45 ml = ___________ 1

(b) 800 ml = ___________ kl

(c) 695,000 l = ___________ kl

(d) 0.000092 kl = ___________ cl

(e) 75,500.314 cl = ___________ l

(f) 774.3 cl = ___________ ml

(g) 0.975 l = ___________ ml

(h) 950 cl = ___________ kl

(i) 605 l =___________ cl

(j) 3,045,660 ml = ___________ kl

Q-15

Match the following:
Q-16

Add the following :

(a) 7 m 50 cm + 2 m 5 cm + 80 cm

(b) 7 km 500 m + 9 km 75 m + 5 km 7 m

(c) 6 kg 750 g + 2 kg 90 g + 1 kg 10 g

(d) 10 l 465 ml + 5 l 60 ml + 24 l 10 ml

Q-17

Subtract the following :

(a) 4 m 10 mm from 10 m 6 cm

(b) 10 mg from 3g

(c) 22 l 6 dl 20 ml from 46 l 20 dl 25 ml

(d) 8 l 240 ml from 11 l 330 ml

Q-18

Tick the correct answer.
Multiple Choice Questions
Q-1 The system, we use to measure the length, mass and capacity, is called the _________ system of measurement.

(i)

metric

(ii)

normal

(iii)

none of these
Q-2 To change from smaller unit to bigger, we ________.

(i)

divide

(ii)

multiply

(iii)

add
Q-3 To change from bigger unit to smaller, we _______.

(i)

divide

(ii)

multiply

(iii)

add
Chapter-9   Perimeter and Area
Q-1 Fill in the blanks:
(a) Perimeter is the _____________ of boundary of figure.
(b) Distance covered around rectangular park is the _____________ of the park.
(c) Perimeter is measured in _____________ units.
(d) Perimeter is possible for only _____________ figures.
Q-2 True or False:
(a) The surface bounded by a figure or object is called its area.
(b) A square is a rectangle whose length and breadth are equal.
(c) The area is always given in square units.
Q-3 One word answer:
(a) Area of triangle.
(b) Perimeter of a rectangle.
(c) Area of rectangle.
(d) Perimeter of square.
Q-4

Find in the blanks :

(a) Perimeter is the _____________ of boundary of figure.

(b) Distance covered around rectangular park is the _____________ of the park.

(c) Twice the sum of length and breadth is the _____________ of a _____________.

(d) Four times the _____________ of square is its _____________.

(e) Perimeter is measured in _____________ units.

(f) Perimeter is possible for only _____________ figures.

(g) Perimeter of square of 4 cm side is _____________ cm.

(h) Perimeter of rectangle of l cm length and b cm width is _____________ .

Q-5

Complete the table given below :
Q-6

Calculate the perimeter of the following using formula.
Q-7

Answer the following :

(a) The perimeter of square is 60 cm, what will be its side?

(b) The length and breadth of rectangle is 5 cm and 20 cm. What will be perimeter of the rectangle?

(c) The length and perimeter of a field is 30 m and 150 m. What will be its breadth?

(d) If I took 3 rounds of square garden of 40 m dimension, what distance I have covered?

(e) What will be width of box having dimensions as 15 cm and perimeter 100 cm? Guess what shape it is, give reasons.

Q-8

Calculate the perimeters of the following shapes :
Q-9

Find the area of following triangles :
Q-10

Estimate the area of following figures in sq. units.
Multiple Choice Questions
Q-1 __________ is the length of the boundary of any figure or shape.

(i)

Perimeter

(ii)

Area

(iii)

none of these
Q-2 The unit of measurement of ________ is square units.

(i)

area

(ii)

perimeter

(iii)

none of these
Q-3 Area of each square is _______ square cm.

(i)

1

(ii)

2

(iii)

3
Chapter-10   Volumes of Solids
Q-1 Fill in the blanks:
(a) Objects which Occupy a definite Space are called as ____________.
(b) The amount of space occupied by an object is called the ______________.
(c) __________ has circular base and a lateral height.
(d) ____________ has 8 corners.
Q-2 True or False:
(a) Volume of a cube = side × side × side.
(b) 1 cm3 = 1 ml.
(c) A cylinder has 2 circular bases and a height.
(d) All solids do not occupy space.
Q-3 One word answer:
(a) How many corners of Cuboid.
(b) What is the volume of a cube.
Q-4

Find the volume of the following in cu cm:
Q-5

Write the measurement of following objects and find the volume :

(a) Square of side 14 cm

(b) Rectangle of dimensions 11 cm and 7 cm

(c) Square of side 9 cm

(d) Rectangle of length 13 cm and breadth 6 cm

Q-6

Find the volumes of the following cuboids :

(a) Length = 10 mm 

Breadth = 5 mm 

Height = 3 mm

(b) Length = 20 cm 

Breadth = 12 cm 

Height = 6 cm

(c) Length = 9 m 

Breadth = 7 m 

Height = 3 m

Q-7

Complete the table by entering missing information regarding volume of four different cuboids ::
Q-8

Draw the nets of the following shapes :
Q-9

Use the isometric dot paper and form the figures of

(a) Dice 

(b) Matchbox 

(c) Cylinder 

(d) Cone

Q-10

Draw the nets of the followings:

(a) Mobile phone box 

(b) Any cubical box 

(c) Any cuboidal box

Q-11

Using measuring glass with 200 ml of water in it, find the volume of following objects

(a) Potatoes 

(b) Brinjal 

(c) 4 marbles 

(d) Eraser 

(e) Gel pen 

(f) Crayon 

(g) Dice 

(h) Grapes

Q-12

If 10 coins of ₹.1 have a volume of 8 cm3 , how many such coins are required to raise the water level by.

(a) 40 ml

(b) 24 ml

(c) 16 ml

(d) 64 ml

Multiple Choice Questions
Q-1 Objects which Occupy a definite Space are called as _________.

(i)

perimeter

(ii)

area

(iii)

volume
Q-2 Cuboid has _________ corners.

(i)

4

(ii)

7

(iii)

8
Q-3 Cuboid has _________ sides.

(i)

10

(ii)

11

(iii)

12
Chapter-11   Time and Temperature
Q-1 Fill in the blanks:
(a) Nowadays thermometer used by doctors are __________.
(b) Normal body temperature is _____________ °F.
(c) Body temperature marked by doctors are usually in ______________.
(d) The digital clock can show time in ______ hours.
Q-2 True or False:
(a) The analogue clocks generally show the time in 12 hours.
(b) If the number of minutes to be subtracted is more than that we have in the upper row of minutes~ we take away.
(c) The word ‘temperature, is used to denote the level of hotness or coldness.
(c) Clinical thermometer scale ranges from 35°C to 42°C.
Q-3 One word answer:
(a) Temperature is measured by an instrument.
Q-4

Change into minutes:

(a) 3 hours

(b) 5 hours

(c) 2 hrs. 15 min

(d) 4hr. 37min.

Q-5

Change into seconds:

(a) 14min.

(b) 10* 3/ 4 min.

(c) 16 min.

(d) 15* 2/ 3 min.

Q-6

Change into hours and minutes :

(a) 840 min.

(b) 602min.

(c) 368 min

(d) 420min.

Q-7

Change into minutes and seconds :

(a) 950 secs.

(b) 490 secs.

(c) 1008 secs.

(d) 970 secs.

Q-8

Find the sum of the following :

(a) 4 min 40 sec + 60 min 30 sec

(b) 2 min 30 sec + 4 min + 40 sec

(c) 10 min 25 sec + 30 min 20 sec

(d) 12 hr. 40 min 40 sec + 10 hr 20 min 32 sec

Q-9

Find the difference of the following :

(a) 10 hr 40 min 20 sec – 6 hr 40 min 30 sec

(b) 15 hr 20 min 35 sec – 11 hr 20 min 45 sec

(c) 60 hr 38 min 24 sec – 41 hr 41 min 26 sec

(d) 21 hr 15 min 30 sec – 14 hr 21 min 40 sec

Q-10

Solve the following :

(a) 15 years 5 months + 13 years 11 months

(b) 21 years 15 months + 10 years 5 months

(c) 6 years 15 months + 11 years 3 months

(d) 17 years 4 months + 5 years 9 months

Q-11

Find the difference of the following :

(a) 5 yrs 11 months – 3 yrs 2 months

(b) 11 yrs 5 months - 7 yrs 9 months

(c) 10 yrs 4 months – 4 yrs 7 months

(d) 21 yrs 11 months - 10 yrs 9 months

Q-12

Complete the table given below by entering missing information :
Q-13

Evaluate :

(a) Starting date : 20th August; duration : 35 days, finishing date __________?

(b) Duration: 21 days, finishing date: 19th November, starting date __________ ?

(c) Starting date : 4th April, finishing date : 5th May, duration __________ ?

(d) Starting date: 11th November; duration 25 days, finishing date __________ ?

(e) Duration: 40 days, finishing date: 17th June, starting date __________ ?

Q-14

Practical Applications

1. Final examination date is announced as 13th May and perparation holidays are declared for 28 days. Find the date of commencemt of preparation holidays.

2. It is announced that train will arrive 2 hr. 20 min late and actual time of arrival of train is 11 : 30 pm. At what time train will arrive now ?

3. Madhu joined the coaching classes 20-days later. If the date of start of coaching classes is 20th June, find the joining date of Madhu.

4. Football team practices for 1 hr. 30 min every day. If today, they started practice at 3 : 40 pm, at what time practice will end today.

5. A school closed for summer vacations on May 21 and re-opened on July 6. For how many days the schools remained closed?

Q-15

Fill in the blanks :

(a) Nowadays thermometer used by doctors are ................... .

(b) Normal body temperature is ................... °F.

(c) Fahrenheit thermometers are marked from ................... °F to ................... °F.

(d) Celsius thermometers are marked from ................... °C to ................... °C.

(e) Water boils at ................... °C or ................... °F.

Q-16

Convert the following into Celsius scale :

(a) 203°F

(b) 130°F

(c) 115°F

(d) 273°F

Q-17

Convert the following into Fahrenheit scale :

(a) 35°C

(b) 40°C

(c) 42°C

(d) 45 °C

Multiple Choice Questions
Q-1 There are ________ types of clocks which are being used worldwide.

(i)

two

(ii)

three

(iii)

four
Q-2 The digital clock can show time in _________ hours.

(i)

12

(ii)

24

(iii)

48
Q-3 The analogue clocks generally show the time in _________ hours which are used at our homes.

(i)

12

(ii)

24

(iii)

48
Q-4 ___________ minutes make an hour.

(i)

24

(ii)

48

(iii)

60
Chapter-12   Mapping Skills
Q-1 Fill in the blanks:
(a) ___________ show the route or approaching.
(b) Himachal Pradesh is in ________________ of Jammu and Kashmir.
(c) West Bengal is in ________________ of Bihar.
(d) Chennai is in ________________ of Puducherry.
Q-2 True or False:
(a) Four main directions are defined as North, East, South and West.
(b) Maps show the route or approaching.
(c) The Clockwise direction is N-W-S-E.
(d) The anticlockwise direction is N-E-S-W.
Q-3 One word answer:
(a) Area of circle.
(b) Name the northern-most part of India.
(c) Name the state shown in southern-most part of India.
(d) Name the state on East Coast.
Multiple Choice Questions
Q-1 ________ is a way of showing surface of the earth in paper.

(i)

Mapping

(ii)

Addition

(iii)

Subtraction
Q-2 ________ are used in maps to draw the objects or places larger or smaller as per requirement.

(i)

Scales

(ii)

Maps

(iii)

None of these
Q-3 There are ________ main directions.

(i)

two

(ii)

three

(iii)

four
Chapter-13   Data Handling
Q-1 Fill in the blanks:
(a) Information collected in the form of numerical figures is called ___________.
(b) ____________ itself is a plural word.
(c) _________ is known as x-axis.
(d) __________ axis is known as y-axis.
Q-2 True or False:
(a) There are points and line joining these points constitute a line graph.
(b) Point where Horizontal and Vertical axes meet is known as origin.
(c) Through line graph, we can predict increase/decrease, good/bad performance etc.
(d) Vertical bar ‘I’ is used to mark and calculate the number of data/information occurs repeatedly.
Q-3

Number of trees and plants available in a garden is shown as below :

(a) Which trees of fruit are more in number?

(b) Which two fruit trees are equal in number?

(c) Which fruit has less number of trees of plants?

(d) If total number of trees are 300, what will be number of trees available for each fruit?

Q-4

In a class test, four students performance is noted as under :

Represent the data in a circle, by colouring differently for each student.
Q-5

In a match of 20-20, runs secured by 4 batsman is shown alongside in circle graph : If total runs are 180, find

(a) How many runs are secured by A, B, C and D?

(b) Who scored the most runs ?

(c) Who among the four bagged equal runs?

(d) What is the difference of runs secured by A and D?